The 2 x values and the 2 y values must be the same but the x and the y could be different. So one way to solve this would be to take one of the equations and get it so one letter is on a side by itself.

3x+8y=4
8y=4-3x
y = (4-3x)/8

Now since you know what y is you can plug that into the second line.

From 3x+2y=-2 you get
3x+2*[(4-3x)/8]=-2
Then you can solve this algebraically to find that x is -4/3.

Now you can take that and plug it back into either one of the equations to be able to solve for y.

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